Exercise logic.propositional.dnf
Description
Proposition to DNF
Firsts
Rule | logic.propositional.truezeroand |
Location | [] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,0,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ F) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ F) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,1,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ F) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,1,0,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ F) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,1,0,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ F) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~q /\ p /\ T /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,0,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~q /\ p /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,0,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ p /\ ~q /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~q /\ p /\ T /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~q /\ p /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ p /\ ~q /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1,1,1,1,1,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,0,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,1,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(r /\ T /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,1,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,1,0,0,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ r) /\ ~r /\ ~r))
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(T /\ p /\ ~q) /\ T /\ ~q /\ ((~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ q) || (~~(~q /\ p /\ T) /\ ~~(~q /\ p) /\ ~~(p /\ ~q) /\ p /\ ~q /\ ~~~(T /\ r /\ r) /\ ~r /\ ~r))
ready: no